Venn Diagrams (Leaving Cert Mathematics): Flashcards

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Venn Diagrams
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Visual tool showing relationships between sets

Venn diagram

Shape representing universal set UU in Venn diagram

Rectangle

Shape representing individual sets in Venn diagram

Circles

Area where circles overlap in Venn diagram

Intersection (elements in both sets)

Basic probability formula

P(event)=favorable outcomestotal outcomesP(\text{event}) = \frac{\text{favorable outcomes}}{\text{total outcomes}}

Meaning of P(A∩B)P(A \cap B)

Probability of both events (intersection/total)

Events that cannot happen simultaneously

Mutually exclusive events

Mutually exclusive events shown as

Non-overlapping circles

P(A∪B)P(A \cup B) for mutually exclusive events

P(A)+P(B)P(A) + P(B)

Region 'A and B' refers to

Intersection (overlap) only

'At least one' means in Venn diagrams

A or B (includes overlap)

'Exactly one' means in Venn diagrams

A only + B only (not both)

How to verify Venn diagram calculations

All regions sum to total

'A or B' includes which regions

A only + intersection + B only

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